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# how do i find the equations of the asymptotes given a function watch

1. function:

2x+3/x-1
2. (Original post by SeekerOfKnowledge)
function:

2x+3/x-1
Think about what values x cannot take. For another asymptote, think about what values y cannot take.
3. Hokey-koke.
There are two types really:
(i) vertical asymptotes
(ii) horizontal asymptotes

The "vertical asymptotes" are easy.
Just find the x-coordinates that aren't possible, i.e. return an undefined value.
So, in this case, will not be defined when you're dividing 2x+3 by 0.
This is where x-1=0, meaning that there is a vertical asymptote at x=1.

As for the horizontal asymptote, you just have to look what happens as x tends to infinity.
So stick in really large positive and negative values and see what value you seem to get out.
In this case, I think there will be a horizontal asymptote at y=2.
4. Well firstly, x can not equal 1.

This is because if it did, you would divide by zero and we all know what happens when you divide by zero...

THE ROOM BLOWS UP!!!
5. thanks
6. (Original post by placenta medicae talpae)
Hokey-koke.
There are two types really:
(i) vertical asymptotes
(ii) horizontal asymptotes
Not quite:

Consider for example f(x) = x^2 + 4x + 9 - 5/(x-1)

This function approach x^2 + 4x + 9 but never quite reaches there, so the quadratic is an asymptote to the function.
7. first use partial fractions:
2x+3/x-1=2+5/x-1
as x get big y-->2 horizontal aymptote @ y=2
as x-->1,y-->infinity vertical asymtote @ x=1
8. (Original post by *MJ*)
Well firstly, x can not equal 1.

This is because if it did, you would divide by zero and we all know what happens when you divide by zero...

THE ROOM BLOWS UP!!!
Your posts annoy me greatly. I don't know why, it just seems like you try far too hard to be funny whenever you post, when actually your humour is comparible to that of a 6 year old. Rant over.
9. (Original post by tomiswellcool)
Your posts annoy me greatly. I don't know why, it just seems like you try far too hard to be funny whenever you post, when actually your humour is comparible to that of a 6 year old. Rant over.
I thought this guy was funny!
10. (Original post by tomiswellcool)
Your posts annoy me greatly. I don't know why, it just seems like you try far too hard to be funny whenever you post, when actually your humour is comparible to that of a 6 year old. Rant over.
Do I know you?

If not, **** off son.

Happy new year.

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